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Finding the Fourth Proportional to 12,697.26, 19,049.78 and 5,683.18

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Solution

The fourth proportional to 12,697.26, 19,049.78 and 5,683.18 is: 8,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.26 : 19,049.78 = 5,683.18 : x
  2. Step 2: Convert to fraction form
    12,697.26/19,049.78 = 5,683.18/x
  3. Step 3: Cross multiply
    12,697.26x = 19,049.78 × 5,683.18
  4. Step 4: Simplify right side
    12,697.26x = 108,263,328.70
  5. Step 5: Solve for x
    x = 108,263,328.70/12,697.26
  6. Step 6: Final answer
    x = 8,526.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.